Answer:
Step-by-step explanation:
I’m assuming that the equation is to be written in slope intercept form (y=mx+b), so for this, you want to find the slope and y-intercept. To find the slope, use the equation in picture 1.
0 - 5 = -5
1 - 5 = -4
-5 / -4 = 1.25
So m, or the slope, is equal to 1.25.
To find the y-intercept, make a table like the second picture. Choose one of the ordered pairs as the given. I used 1,0.
0,?
1,0
Now find the change in x, which in this case, is 1. Then set up something like picture three.
1.25/1 = ?/1
?=1.25
Now backtrack to get:
0, -1.25
1, 0
Now we know what is y when x is 0, we know the y intercept and can make the equation:
y = 1.25x - 1.25
Evaluate: 2(1/4) + 2/5 ÷ (-1/2) - 1/4
⇛9/4 + 2/5 ÷ (-1/2) - 1/4
Take the LCM of the 4 and 5 is 20.
Again, 2 and 4 is 4.
⇛[(54+8)/20] ÷ [(-2 - 1)/4]
⇛62/20 ÷ (-3/4)
⇛62/20 × 4/-3
⇛62/{5*(-3)}
⇛62/-15.
Factoring f(x) would give a factor (x-1-2i), so you can divide f(x) by this, leaving (x-3)(x+4)(x-1+2i), so the other roots are:
x=3
x=-4
x=1-2i